Ms. Zhdanov et P. Traynin, MIGRATION VERSUS INVERSION IN ELECTROMAGNETIC IMAGING TECHNIQUE, Journal of Geomagnetism and Geoelectricity, 49(11-12), 1997, pp. 1415-1437
One of the most challenging problems in electromagnetic (EM) geophysic
al methods is developing fast and stable methods of imaging inhomogene
ous underground structures using EM data. In our previous publications
we developed a novel approach to this problem, using EM migration. In
this paper we demonstrate that there is a very close connection betwe
en the method of EM migration and the solution of the conventional EM
inverse problem. Actually, we show that migration is an approximate in
version. It realizes the first iteration in the inversion algorithm, b
ased on the minimization of the residual field energy flow through the
profile of observations. This new theoretical result opens a way for
formulating a new imaging condition. We compare this new imaging condi
tion with the traditional one, obtained for simplified geoelectrical m
odels of the subsurface structures. This result also leads to the cons
truction of a solution of the inverse EM problem, based on iterative E
M migration in the frequency domain, and gradient (or conjugate gradie
nt) search for the optimal geoelectrical model. However, the authors h
ave found that in the framework of this method, even the first iterati
on, based on the migration of the residual field, generates a reasonab
le geoelectrical image of the subsurface structure.